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Epimorphisms in the Category of ℓ-Groups.
- Source :
-
Algebra Colloquium . Mar2009, Vol. 16 Issue 1, p123-130. 8p. - Publication Year :
- 2009
-
Abstract
- In the category of ℓ-groups, we introduce the concepts of Hopfian and generalized Hopfian ℓ-groups. An ℓ-group G is called Hopfian if every surjective ℓ-homomorphism f : G → G is an ℓ-isomorphism, and G is called generalized Hopfian if every surjective ℓ-homomorphism f : G → G has a small kernel in G. By an example we show that the class of generalized Hopfian ℓ-groups is a proper subclass of Hopfian ℓ-groups. In this paper, we establish some characterizations for them, which generalize some results in [9]. [ABSTRACT FROM AUTHOR]
- Subjects :
- *GROUP theory
*HOPFIAN groups
*ISOMORPHISM (Mathematics)
*HOMOMORPHISMS
*MATHEMATICS
Subjects
Details
- Language :
- English
- ISSN :
- 10053867
- Volume :
- 16
- Issue :
- 1
- Database :
- Academic Search Index
- Journal :
- Algebra Colloquium
- Publication Type :
- Academic Journal
- Accession number :
- 35884220
- Full Text :
- https://doi.org/10.1142/S1005386709000145